14746350465 has 72 divisors (see below), whose sum is σ = 32108940864. Its totient is φ = 6128337600.

The previous prime is 14746350457. The next prime is 14746350499. The reversal of 14746350465 is 56405364741.

14746350465 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 635 + 0 + 4 + 6 + 5 = 666.

It is not a de Polignac number, because 14746350465 - 2³ = 14746350457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14746350465.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 155331 + ... + 231560.

It is an arithmetic number, because the mean of its divisors is an integer number (445957512).

Almost surely, 2^14746350465 is an apocalyptic number.

14746350465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14746350465 is an abundant number, since it is smaller than the sum of its proper divisors (17362590399).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14746350465 is a wasteful number, since it uses less digits than its factorization.

14746350465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386931 (or 386917 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 14746350465 in words is "fourteen billion, seven hundred forty-six million, three hundred fifty thousand, four hundred sixty-five".